Finding the Third Proportional to 31,648.50 and 68,966.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,648.50 : 68,966.50 = 68,966.50 : x
2. Step 2: Convert to fraction form
   31,648.50/68,966.50 = 68,966.50/x
3. Step 3: Cross multiply
   31,648.50x = 68,966.50 × 68,966.50
4. Step 4: Simplify right side
   31,648.50x = 4,756,378,122.25
5. Step 5: Solve for x
   x = 4,756,378,122.25/31,648.50
6. Step 6: Final answer
   x = 150,287.63